Circuit models of shielded single and multiconductor cables for EMC analyses

Abstract

In this thesis, novel circuit models for coaxial cables with braided shields placed above a ground plane are presented. The models are derived from the transmission line theory and are suitable for integration into SPICE simulation programs. Two types of models are presented. First, a lumped-circuit model is developed in which the cable is divided into small sections, with each section replaced with an equivalent circuit and connected to represent the entire cable. In the second type, a macromodel is developed from the analytical solutions of the transmission line theory to represent the entire cable without discretizing it. This work demonstrates the efficiency of the macromodel in terms of computing time and accuracy compared to the lumped-circuit model. The designed models can be used to calculate the induced voltage at the termination loads of the cable when an incident uniform plane wave is coupled in. These models can also calculate the coupling results due to interference from lumped sources. The developed models are therefore suitable for the circuit EMC analysis of systems that contain shielded cables and are susceptible to field coupling or interference with other systems. The bidirectional coupling between the inside and outside of the cable shield is taken into account, which enables the analysis of interference immunity and emissions. The mathematical functions for calculating the coupling between the inner and outer systems of the cable are transformed into equivalent circuit diagrams that allow the models to be used in the frequency domain or together with nonlinear elements in the time domain. The developed models for a single conductor shielded cable are expanded for shielded multiconductor cables within the scope of this work. The circuit models are validated by measurements and field simulations, and the results show excellent agreement.